Interpret and Compute Quotients of Fractions - Step-by-Step Lesson Lesson 1 Fraction Problem: 1. How many 3/4-cup servings are in 3/2 cups of coffee? Explanation: Step 1) First we look to see what is being asked of us. How many 3/4-cup servings are in 3/2 cups of coffee? Step 2) Divide the total amount of coffee by the number of cups Now turn this from a division problem into a multiplication problem by multiplying by the reciprocal. = X Now we will multiply: = 2 Answer is: 2
Interpret and Compute Quotients of Fractions - Guided Lesson Complete the following problems: 1) Watson made chocolate cookies that he wants to serve his friends. He wants to give each friend ¼ of a plate of cookies. How many servings are in 3 plates of cookies? 2) Perry purchased a bunch of grapes. He wants to share them with his five friends. How many grapes will each friend get if all 5 friends share 1/3 lb. of grapes equally? 3) How much toffee will each person get if 4 people share 1/2 lb of toffee equally?
Interpret and Compute Quotients of Fractions - Guided Lesson Explanation Explanation#1 There are a number of ways to do this. We could divide 3 by 1/4. 3 = = x = 12 Answer is: 12 Explanation#2 If all his 5 friends share 1/3 pound of grapes, it would look like this. 1/15 1/15 1/15 1/15 1/15 1/3 pound 1/3 5 = So the answer is 1/15 lb.
Explanation#3 If all 4 people share toffee that is ½ lb., it would look like this: 1/8 1/8 1/8 1/8 1/2 pound Divide the total amount of toffee by the number of cups 4 We will write 4 as an improper fraction. Turn this from a division problem into a multiplication problem by multiplying by the reciprocal. = X Now multiply: = Answer is: 1/8 lb.
Interpret and Compute Quotients of Fractions - Independent Practice Worksheet Complete all the problems. 1. How many 1/5-cup servings are in 3/4 of a cup of ice cream? 2. On the last period, our teacher had 1/2 of an eraser left. She gave that to her 2 students equally. How much of the eraser did every student take home? 3. Each day, Foster uses 4 bags of milk for tea for her family and tenant. In how much of a day will they use 1/2 of a bag of milk? 4. Simmons made 2/3 of a pound weighed pizza. He distributed the pizza to his 6 friends. What was the weight of pizza that each friend gets? 5. What weight of oranges will each person get if 4 people share 2/4 lb of chocolate equally? 6. How many 1/3-cup servings are in 3/4 of a cup of tea? 7. What weight of flowers will each person get if 3 people share 1/3 lb of flower equally? 8. Diaz uses 2 bags of flour every day for preparing food. How much of the day will 1/3 of a bag of flour last? (in days) 9. Hayes purchased 3/2 of a pound of mangoes and gave them equally to 3 friends. How many pounds of mangoes did Hayes give to each friend? 10. How much rice will each person get if 5 people share 2/4 lb of rice equally?
Interpret and Compute Quotients of Fractions - Matching Worksheet Match the word problems to their answers. Write the letter of the answer that matches the problem. Units are removed to make it more challenging. 1. How much pasta will each person get if 6 people share 2/3 lb of pasta equally? a. 8/5 2. Russell has a biscuit factory. His friend ate 2/4 of the biscuits left in the last tray on Monday. He ate those in 4 equal parts and in equal amounts. What fraction of biscuits did he eat each time? b. 1/9 3. A juice shop used 1/2 of a bag of apples to prepare 5 containers of apple juice. How many bags of apples did the shop fill in each container? 4. Gordon purchase 2/4 of a pound of bananas. He has to divide them equally among 3 baskets. How many pounds of bananas did Gordon put in each basket? 5. How many 2/5-pound servings are in 1/4 of a bag of candy? c. 1/8 d. 2 e. 4/3 6. How wide is a rectangular strip of land with the length of 2/3 mi and area 1/2 square mi? f. 1/6 7. Pierce bought a packet of balloons for his kids. The packet of balloons is 1/6 of a pound. He put the balloon into 2 equal amounts in bag. What is the weight of one of those bags? g. 1/10 8. Mr. Arnold invited some of his friends for his wife s birthday and prepared cold drinks for his wife. Mr. Arnold needs to use ½ of a cup of sugar for the recipe. He only has a ¼ measuring cup. How many times does he need to measure out ¼ of a cup on that measuring cup to equal ½ cup? h. 1/12